Question

175 men can dig a canal 3150 m long in 36 days. How many men are required to dig a
canal 3900 m. long in 24 days?​

Answer 1

Answer:

$\boxed{\fcolorbox{black}{pink}{Solution}}$

$\boxed{\fcolorbox{black}{pink}{Given}}$

• In 36 days 175 men dig 3150 m long canal.
• one man in one day digs 3150/(36×175) m long canal.
• one man in 24 days can dig (3150×24)/(36×175) m long canal.
• to dig 3900 m long canal in 24 days ,no of men is to be provide =3900÷{(3150×24)/(36×175)}

$\boxed{\fcolorbox{black}{pink}{Equation}}$

=(3900×36×175)/(3150×24)

=(78×50×12×3×175)/(63×50×12×2)

=(78×3×175)/(63×2)

=(39×175)/(21)

=(13×175)/7

=13×25

$\pink{=325}$

$\boxed{\fcolorbox{black}{pink}{Hence, }}$

325 men are required.

Answer 2

Step-by-step explanation:

Men1 × days1 = Men2 × days2

Work1 Work2

note - the one and two are in subscript

175 × 36 = M × 24

3150 3900

M = 175 × 36 × 3900

3150 × 24

M = 325 mens

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